Tables, Graphs, & Equations of Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equal.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

Front

What is the significance of the constant of proportionality (k)?

Back

The constant of proportionality (k) represents the rate at which one quantity changes with respect to another in a proportional relationship.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What does the point (2, 94) represent in a savings context?

Back

The point (2, 94) represents that after 2 weeks, a person has saved $94.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

How can you tell if a table represents a non-proportional relationship?

Back

A table represents a non-proportional relationship if the ratios of corresponding values are not equal.

Front

What is the difference between proportional and non-proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs do not pass through the origin and may curve.